Finite difference schemes and partial differential equations

A scalable implementation of the NAS Parallel Benchmark BT on distributed memory systems

IBM Systems Journal

Efficient Algorithms for Data Distribution on Distributed Memory Parallel Computers

IEEE Transactions on Parallel and Distributed Systems

Provably Convergent Methods for the Linear and Nonlinear Shape from Shading Problem

Journal of Mathematical Imaging and Vision

Modeling and rendering of weathered stone

Proceedings of the 26th annual conference on Computer graphics and interactive techniques

Keller's box-scheme for the one-dimensional stationary convection-diffusion equation

Computing

Contact Discontinuity Capturing Schemes for Linear Advection and Compressible Gas Dynamics

Journal of Scientific Computing

Web II: web-based simulation of systems described by partial differential equations

Proceedings of the 33nd conference on Winter simulation

Semi-Lagrangian schemes for Hamilton-Jacobi equations, discrete representation formulae and Godunov methods

Journal of Computational Physics

An implicit, nonlinear reduced resistive MHD solver

Journal of Computational Physics

Power grid transient simulation in linear time based on transmission-line-modeling alternating-direction-implicit method

Proceedings of the 2001 IEEE/ACM international conference on Computer-aided design

Individualizing Neuroanatomical Atlases Using a Massively Parallel Computer

Computer

Outflow boundary conditions for the Fourier transformed two-dimensional Vlasov equation

Journal of Computational Physics

A simple compact fourth-order Poisson solver on polar geometry

Journal of Computational Physics

A Cross-Modal Electronic Travel Aid Device

Mobile HCI '02 Proceedings of the 4th International Symposium on Mobile Human-Computer Interaction

A Godunov-Ryabenkii Instability for a Quickest Scheme

NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications

Theoretical Analysis of Finite Difference Algorithms for Linear Shape from Shading

CAIP '01 Proceedings of the 9th International Conference on Computer Analysis of Images and Patterns

Superconvergence of solution derivatives for the Shortley-Weller difference approximation of Poisson's equation. Part I: smoothness problems

Journal of Computational and Applied Mathematics

ADI schemes for higher-order nonlinear diffusion equations

Applied Numerical Mathematics

A Structural Approach to Distance Rendering in Personal Auditory Displays

ICMI '02 Proceedings of the 4th IEEE International Conference on Multimodal Interfaces

A Multimodal Electronic Travel Aid Device

ICMI '02 Proceedings of the 4th IEEE International Conference on Multimodal Interfaces

Strongly consistent marching schemes for the wave equation

Journal of Computational Physics

A 2D high-ß Hall MHD implicit nonlinear solver

Journal of Computational Physics

An Eulerian Formulation for Solving Partial Differential Equations Along a Moving Interface

Journal of Scientific Computing

High-order nonreflecting boundary conditions for the dispersive shallow water equations

Journal of Computational and Applied Mathematics - Special issue: Selected papers from the conference on computational and mathematical methods for science and engineering (CMMSE-2002) Alicante University, Spain, 20-25 september 2002

An upwinding embedded boundary method for Maxwell's equations in media with material interfaces: 2D case

Journal of Computational Physics

Numerical modelling of the two-dimensional Fourier transformed Vlasov-Maxwell system

Journal of Computational Physics

Mixed electroelastic waves and CFL stability conditions in computational piezoelectricity

Applied Numerical Mathematics

The Power Grid Transient Simulation in Linear Time Based on 3D Alternating-Direction-Implicit Method

DATE '03 Proceedings of the conference on Design, Automation and Test in Europe - Volume 1

High order marching schemes for the wave equation in complex geometry

Journal of Computational Physics

Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term

Journal of Computational Physics

Efficient techniques for the second-order parabolic equation subject to nonlocal specifications

Applied Numerical Mathematics

Order reduction and how to avoid it when explicit Runge-Kutta-Nyström methods are used to solve linear partial differential equations

Journal of Computational and Applied Mathematics

A stable three-level finite difference scheme for solving the parabolic two-step model in a 3D micro-sphere heated by ultrashort-pulsed lasers

Journal of Computational and Applied Mathematics

On High Order Strong Stability Preserving Runge---Kutta and Multi Step Time Discretizations

Journal of Scientific Computing

Stability Analysis of Difference Methods for Parabolic Initial Value Problems

Journal of Scientific Computing

Propagation of in-plane waves in an isotropic panel with a crack

Finite Elements in Analysis and Design

Moving overlapping grids with adaptive mesh refinement for high-speed reactive and non-reactive flow

Journal of Computational Physics

Modeling and rendering of weathered stone

ACM SIGGRAPH 2006 Courses

Modeling and rendering of weathered stone

SIGGRAPH '05 ACM SIGGRAPH 2005 Courses

Shape recognition using eigenvalues of the Dirichlet Laplacian

Pattern Recognition

A formally fourth-order accurate compact scheme for 3D Poisson equation in cylindrical coordinates

Journal of Computational and Applied Mathematics

A semi-implicit conservation element-solution element method for chemical species transport simulation to tapered ducts of internal combustion engine

Mathematics and Computers in Simulation - Special issue: Applied and computational mathematics - selected papers of the fifth PanAmerican workshop - June 21-25, 2004, Tegucigalpa, Honduras

Propagation of in-plane elastic waves in a composite panel

Finite Elements in Analysis and Design

An upwinding boundary condition capturing method for Maxwell's equations in media with material interfaces

Journal of Computational Physics

Outflow boundary conditions for the Fourier transformed three-dimensional Vlasov-Maxwell system

Journal of Computational Physics

Digital waveguides versus finite difference structures: equivalence and mixed modeling

EURASIP Journal on Applied Signal Processing

A multiunit ADI scheme for biharmonic equation with accelerated convergence

International Journal of Computational Science and Engineering

On the numerical solution of nonlinear Black-Scholes equations

Computers & Mathematics with Applications

Numerical solution of linear and nonlinear Black-Scholes option pricing equations

Computers & Mathematics with Applications

New techniques for designing a finite difference domain decomposition algorithm for the two-and three-dimensional heat equations

International Journal of Computer Mathematics

When–and how–can a cellular automaton be rewritten as a lattice gas?

Theoretical Computer Science

Compensated optimal grids for elliptic boundary-value problems

Journal of Computational Physics

Methods for the rapid solution of the pricing PIDEs in exponential and Merton models

Journal of Computational and Applied Mathematics

Sixth order compact scheme combined with multigrid method and extrapolation technique for 2D poisson equation

Journal of Computational Physics

Numerical optimal control of the wave equation: optimal boundary control of a string to rest in finite time

Mathematics and Computers in Simulation

High Order Strong Stability Preserving Time Discretizations

Journal of Scientific Computing

Reconstruction of the corrosion boundary for the Laplace equation by using a boundary collocation method

Mathematics and Computers in Simulation

A new difference scheme with high accuracy and absolute stability for solving convection-diffusion equations

Journal of Computational and Applied Mathematics

ENO adaptive method for solving one-dimensional conservation laws

Applied Numerical Mathematics

Construction of a Mindlin pseudospectral plate element and evaluating efficiency of the element

Finite Elements in Analysis and Design

A numerical study of adding an artificial dissipation term for solving the nonlinear dispersive equations K(n,n)

Journal of Computational and Applied Mathematics

Stability analysis of a predictor/multi-corrector method for staggered-grid Lagrangian shock hydrodynamics

Journal of Computational Physics

A discrete Fourier method for numerical solution of strongly coupled mixed parabolic systems

Computers & Mathematics with Applications

Direct simulation of reed wind instruments

Computer Music Journal

A passive electric controller for multimodal vibrations of thin plates

Computers and Structures

Computing option pricing models under transaction costs

Computers & Mathematics with Applications

A direct quadrature approach for nonlinear filtering

ACC'09 Proceedings of the 2009 conference on American Control Conference

A High Order Compact Scheme for the Pure-Streamfunction Formulation of the Navier-Stokes Equations

Journal of Scientific Computing

Order reduction and how to avoid it when explicit Runge-Kutta-Nyström methods are used to solve linear partial differential equations

Journal of Computational and Applied Mathematics

A stable three-level finite difference scheme for solving the parabolic two-step model in a 3D micro-sphere heated by ultrashort-pulsed lasers

Journal of Computational and Applied Mathematics

A fully second order implicit/explicit time integration technique for hydrodynamics plus nonlinear heat conduction problems

Journal of Computational Physics

ADI spectral collocation methods for parabolic problems

Journal of Computational Physics

Wideband and isotropic room acoustics simulation using 2-D interpolated FDTD schemes

IEEE Transactions on Audio, Speech, and Language Processing

A virtual model of spring reverberation

IEEE Transactions on Audio, Speech, and Language Processing - Special issue on virtual analog audio Effects and musical instruments

Percussion synthesis based on models of nonlinear shell vibration

IEEE Transactions on Audio, Speech, and Language Processing - Special issue on virtual analog audio Effects and musical instruments

Multigrid method and fourth-order compact difference discretization scheme with unequal meshsizes for 3D poisson equation

Journal of Computational Physics

Numerical Simulation of Electromagnetic Solitons and Their Interaction with Matter

Journal of Scientific Computing

Accurate finite difference schemes for solving a 3D micro heat transfer model in an N-carrier system with the Neumann boundary condition in spherical coordinates

Journal of Computational and Applied Mathematics

A second order self-consistent IMEX method for radiation hydrodynamics

Journal of Computational Physics

Vibro-acoustics of violins based on a multi-physic approach

AMTA'10 Proceedings of the 11th WSEAS international conference on Acoustics & music: theory & applications

An efficient error control mechanism for the adaptive 'parareal' time discretization algorithm

SpringSim '10 Proceedings of the 2010 Spring Simulation Multiconference

An approach to iterative learning control for spatio-temporal dynamics using nD discrete linear systems models

Multidimensional Systems and Signal Processing

Incorporating the Havriliak-Negami dielectric model in the FD-TD method

Journal of Computational Physics

Time domain numerical modeling of wave propagation in 2D heterogeneous porous media

Journal of Computational Physics

Numerical solution of the Hamilton-Jacobi-Bellman equation for stochastic optimal control problems

CONTROL'05 Proceedings of the 2005 WSEAS international conference on Dynamical systems and control

An efficient method for the incompressible Navier-Stokes equations on irregular domains with no-slip boundary conditions, high order up to the boundary

Journal of Computational Physics

High order locally one-dimensional method for parabolic problems

CIS'04 Proceedings of the First international conference on Computational and Information Science

Numerical analysis of some typical finite differences simulations of the waves propagation through different media

ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III

Stochastic simulation method for the term structure models with jump

ICCSA'06 Proceedings of the 2006 international conference on Computational Science and Its Applications - Volume Part III

A numerical method for European Option Pricing with transaction costs nonlinear equation

Mathematical and Computer Modelling: An International Journal

Oscillation of impulsive partial difference equations with continuous variables

Mathematical and Computer Modelling: An International Journal

Adequate numerical solution of air pollution problems by positive difference schemes on unbounded domains

Mathematical and Computer Modelling: An International Journal

Existence of bounded and unbounded non-oscillatory solutions for partial difference equations

Mathematical and Computer Modelling: An International Journal

Existence of positive solutions for certain nonlinear partial difference equations

Mathematical and Computer Modelling: An International Journal

Polynomial approximate solutions with a priori error bounds of first-order quasi-linear initial-value partial differential problems

Mathematical and Computer Modelling: An International Journal

Convergent discrete numerical solutions of coupled mixed partial differential systems

Mathematical and Computer Modelling: An International Journal

Oscillation of partial difference equations with continuous variables

Mathematical and Computer Modelling: An International Journal

The McKendrick partial differential equation and its uses in epidemiology and population study

Mathematical and Computer Modelling: An International Journal

Analysis of stability and convergence in FD simulations of the 1-D ultrasonic wave propagation

Mathematical and Computer Modelling: An International Journal

A high resolution nonstandard FDTD method for the TM mode of Maxwell's equations

Mathematical and Computer Modelling: An International Journal

Numerical convergence of a one step approximation of an integro-differential equation

Applied Numerical Mathematics

L2 error estimates and superconvergence of the finite volume element methods on quadrilateral meshes

Advances in Computational Mathematics

Numerical smoothness and error analysis for RKDG on the scalar nonlinear conservation laws

Journal of Computational and Applied Mathematics

A Family of Fourth-Order and Sixth-Order Compact Difference Schemes for the Three-Dimensional Poisson Equation

Journal of Scientific Computing

Two-Image perspective photometric stereo using shape-from-shading

ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part IV

Using inexact gradients in a multilevel optimization algorithm

Computational Optimization and Applications

Fast and efficient numerical methods for an extended Black-Scholes model

Computers & Mathematics with Applications